# New PDF release: A Statistical Study of the Visual Double Stars in the

By Aitken R.J.

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Additional info for A Statistical Study of the Visual Double Stars in the Northern Sky (1915)(en)(5s)

Sample text

Tyrion, Cersei, and ten other people are sitting at a round table, with their seating arrangement having been randomly assigned. What is the probability that Tyrion and Cersei are sitting next to each other? , where an outcome is fully detailed about the seating; 37. 38. (b) using a much smaller sample space, which focuses on Tyrion and Cersei. An organization with 2n people consists of n married couples. A committee of size k is selected, with all possibilities equally likely. Find the probability that there are exactly j married couples within the committee.

P (A)P (B) = 1 P (Ac )P (B c ). s Arby has a belief system assigning a number PArby (A) between 0 and 1 to every event A (for some sample space). This represents Arby’s degree of belief about how likely A is to occur. For any event A, Arby is willing to pay a price of 1000 · PArby (A) dollars to buy a certificate such as the one shown below: Certificate The owner of this certificate can redeem it for \$1000 if A occurs. No value if A does not occur, except as required by federal, state, or local law.

That’s because for two numbers a and b, the expression a==b is TRUE if a = b and FALSE otherwise, and TRUE is encoded as 1 and FALSE is encoded as 0. • sum adds up the elements of the vector, giving us the number of matching cards in this run of the experiment. • replicate does this 104 times. We store the results in r, a vector of length 104 containing the numbers of matched cards from each run of the experiment. In the last line, we add up the number of times where there was at least one matching card, and we divide by the number of simulations.